| 区间离散Lurie系统的绝对稳定性 |
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| 引用本文： | 孙继涛,张银萍. 区间离散Lurie系统的绝对稳定性[J]. 控制理论与应用, 2002, 19(4): 588-590 |
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| 作者姓名： | 孙继涛 张银萍 |
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| 作者单位： | 同济大学应用数学系,上海,200092 |
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| 摘 要： | 用Lyapunov函数研究了具有单调扇形限制的多非线性项的区间离散Lurie系统的鲁棒绝对稳定性, 给出了此类区间离散Lurie系统的鲁棒绝对稳定性的矩阵不等式形式的代数判据, 并与区间对称矩阵稳定性建立了联系.
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| 关 键 词： | 区间离散Lurie系统 鲁棒绝对稳定 区间矩阵 Lyapunov函数 |
| 文章编号： | 1000-8152(2002)04-03-0588 |
| 收稿时间： | 1999-11-04 |
| 修稿时间： | 2000-10-30 |
Robust absolute stability of interval discrete-time Lurie systems |
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| SUN Ji-tao and ZHANG Yin-ping. Robust absolute stability of interval discrete-time Lurie systems[J]. Control Theory & Applications, 2002, 19(4): 588-590 |
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| Authors: | SUN Ji-tao and ZHANG Yin-ping |
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| Affiliation: | Institute of Mathematics, Tongji University, Shanghai 200331,China;Institute of Mathematics, Tongji University, Shanghai 200331,China |
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| Abstract: | The problem of robust absolute stability for interval discrete_time Lurie systems containing an arbitrary number of monotonic sector bounded memoryless time-invariant non-linearities is researched by Lyapunov function, an algebraic sufficient condition with interval matrix inequlity form is obtained for the interval discrete_time Lurie system, and relationship between the stability of interval symmetry matrix and this criterion is established. |
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| Keywords: | interval discrete-time Lurie system robust absolute stability interval matrix Lyapunov function |
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